Evaluate the permutation.
\[
\mathrm{P}(14,2)
\]
\[
P(14,2)=\square
\]
(Simplify your answer.)

Answer

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Answer

So, the final answer is \(\mathrm{P}(14,2)=\boxed{182}\).

Steps

Step 1 ：Given the permutation problem, we are asked to evaluate \(\mathrm{P}(14,2)\).

Step 2 ：The permutation of n objects taken r at a time, denoted as \(\mathrm{P}(n, r)\), is calculated as \(\frac{n!}{(n-r)!}\). In this case, n is 14 and r is 2. So, we need to calculate \(\frac{14!}{(14-2)!}\).

Step 3 ：Substituting the values of n and r, we get \(\frac{14!}{(14-2)!}\) = \(\frac{14!}{12!}\).

Step 4 ：Solving this, we get the permutation as 182.0.

Step 5 ：So, the final answer is \(\mathrm{P}(14,2)=\boxed{182}\).

Evaluate the permutation.\[\mathrm{P}(14,2)\]\[P(14,2)=\square\](Simplify your answer.)

Answer

Popular Problems

Evaluate the permutation.
\[
\mathrm{P}(14,2)
\]
\[
P(14,2)=\square
\]
(Simplify your answer.)